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Erschienen in:
1995 | OriginalPaper | Buchkapitel
Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems
verfasst von : Yuri A. Kuznetsov
Erschienen in: Elements of Applied Bifurcation Theory
Verlag: Springer New York
Enthalten in: Professional Book Archive
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In this chapter we introduce and discuss the following fundamental notions that will be used throughout the book: topological equivalence of dynamical systems and their classification, bifurcations and bifurcation diagrams, and topological normal forms for bifurcations. The last section is devoted to the more abstract notion of structural stability. In this chapter we will be dealing only with dynamical systems in the state space X = ℝn.